It is worth mentioning that in this work, we do not consider circuit power consumption for calculation simplicity [1]}, [2]}, [3]}, [4]}, [5]}, [6]}, [7]}, [8]}, [9]}. Since the benchmark scheme does not consider circuit power consumption, the comparison between the proposed scheme and the benchmark is valid.
The number of transmitted bits of \(SU_k\)  can be found as
\(\begin{split}R_k(\tau _k, \varphi _k, p_k)& = \varphi _k W \log _2(1 + p_k \gamma _k) + (\tau _k - \varphi _k)B_k^b,\end{split}\) 
